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Finding the Fourth Proportional to 4,242.46, 5,854.59 and 2,473.72

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Solution

The fourth proportional to 4,242.46, 5,854.59 and 2,473.72 is: 3,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.46 : 5,854.59 = 2,473.72 : x
  2. Step 2: Convert to fraction form
    4,242.46/5,854.59 = 2,473.72/x
  3. Step 3: Cross multiply
    4,242.46x = 5,854.59 × 2,473.72
  4. Step 4: Simplify right side
    4,242.46x = 14,482,574.73
  5. Step 5: Solve for x
    x = 14,482,574.73/4,242.46
  6. Step 6: Final answer
    x = 3,413.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.